Question : Directions: Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
No apple is tasty.
Some tasty are bitter.
Conclusions:
I. Some apples are bitter.
II. No tasty is an apple.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follow
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some apples are bitter – From the Venn diagram, it is evident that no relation between the circles of apple and bitter is defined. Therefore, some apples are bitter is a false conclusion.
Conclusion (II):
No tasty is an apple – From the Venn diagram, it is evident that the cross sign between the circles of apple and tasty defined a relation of not. So, no tasty is an apple is a true conclusion.
So, only conclusion II follows. Hence, the first option is correct.
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